Critical Collapse and Solitons in Classical Conformal Field Theory

Details Critical Collapse and Solitons in Classical Conformal Field Theory Critical Collapse and Solitons in Classical Conformal Field Theory

2011-10-14

arxiv.org/abs/1110.3258v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 8 figures; REVTeX 4

Scientific paper

We study the fate of a localized wavepacket in a classical conformal field theory with attractive interaction V(phi) = -lambda/4 phi^4. As potential is unbounded from below, homogeneous field collapses to singularity in finite time. However, finite size wavepacket can disperse before it collapses. Competition between the two outcomes results in a critical behavior, much like the one seen in gravitational collapse. We calculate the critical exponents, and show that there are static regular soliton-like solutions in the theory.

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